A method synthesis of selection function scalar convolutions for the multi-objective decision-making problems
Keywords:
mathematical modeling; stochastic optimization; computational methods
Abstract
The statement of the estimation problem for selection functions and sought values in multi-objective problems is considered. The authors propose a method of synthesis of selection function scalar convolutions in multi-objective problems of mathematical model identification, optimization and decision-making. The types of scalar convolutions of selection functions have been obtained, which are specific to some practical problems of such kind. Application of the scalar convolutions as a tool for solution synthesis with the help of regularizing algorithms provides the stable effective estimates of values sought when data are a priori uncertain.
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References
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J. Marczyk Stochastic Multidisciplinary Improvement: Beyond Optimization – AIAA- 2000-4929, Proceedings of 8th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, Long Beach, USA, (2000).
Menyailov A.V. Application of evolutionary methods for solving optimization gas turbine compressor / A.V. Menyailov, A.A Tronchukб K.M. Ugryumova, // Aerospace techniques and technology, 2008, No. 5 (52), pp. 59-65.
Ugryumov M.L. Gas Turbine Engine Elements Systematic Improvement on the Base of Inverse Problem Concept by Stochastic Optimization Methods / M.L. Ugryumov, A.A. Tronchuk, V.E. Afanasjevska, A.V. Myenyaylov – Abstracts Book and CD–ROM Proceedings of the 20-th ISABE Conference, Gothenburg, Sweden, ISABE Paper No. 2011–1255.
Tronchuk A.A., Mathematical models and evolutionary method for solving problems of stochastic optimization / A.A. Tronchuk, E.M. Ugryumova // Visnyk of Karazin Kharkiv National University. Ser. Mathematics, Applied Mathematics and Mechanics. – 2012 – 19 issue (№ 1015). – pp. 292-305.
Meniailov Ie.S. Formation of image of technical systems under conditions of input data uncertainty based on artificial intelligence methods / Ie.S. Meniailov, K.M. Ugryumova, A.A Tronchuk, S.V. Сhernysh // Aerospace techniques and technology. – 2014. – № 7 (114). – рр. 169-174.
Published
2015-10-26
How to Cite
СhernyshS. V., Meniailov, I. S., Ugryumova, K. M., & Ugryumov, M. L. (2015). A method synthesis of selection function scalar convolutions for the multi-objective decision-making problems. Bulletin of V.N. Karazin Kharkiv National University, Series «Mathematical Modeling. Information Technology. Automated Control Systems», 27, 172-180. Retrieved from https://periodicals.karazin.ua/mia/article/view/14208
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